Greatest Common Factor of 251/37, 459/59, 597/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 251/37, 459/59, 597/514

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 251/37,459/59,597/514

Given fractions are 251/37,459/59,597/514

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 251,459,597

Greatest Common Factor of Numerators i.e. GCF of 251,459,597 is 1 .

LCM of Denominators means LCM of 37,59,514 as per the given fractions.

LCM of 37,59,514 is 1122062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 251,459,597

GCF of Fractions 251/37,459/59,597/514 is 1/1122062

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 251,459,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,459,597 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 251,459,597 . The biggest common factor number is the GCF number.
So the greatest common factor 251,459,597 is 1.

Lets's calculate LCM of 37,59,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 1122062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1122062

Therefore, the GCF of Fractions 251/37,459/59,597/514 is 1/1122062

Least Common Multiple of 37,59,514 with GCF Formula

Least Common Multiple of 37,59,514 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,59,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,59,514) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,59,514) x common factors =1 x 1 = 1

LCM(37,59,514) = ( 37 × 59 × 514 ) / 1

LCM(37,59,514) = 1122062 / 1

LCM(37,59,514) = 1122062


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 251/37, 459/59, 597/514

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 251/37, 459/59, 597/514?

Answer: GCF of Numerators as per given numbers 251/37, 459/59, 597/514 is

GCF of Numerators i.e. for 251,459,597 is 1

LCM of denominators i.e. for 37,59,514 is 1122062.

Thus, GCF of Fractions is 1/1122062.Finally, GCF of Fractions for 251/37, 459/59, 597/514 is 1/1122062.